According to the authors, the present analysis presents two main pedagogical aspects.
The first concerns the development of students’ abilities in reproducing, by means of simple
kinematics formulas, pleasant-looking graphs in two dimensions.
The second aspect is
related to the possibility of utilizing simple results in two dimensions to obtain, by analogy,
more general results in three dimensions.
Therefore, apart from the not irrelevant results in
determining the geometric figures the particle make on the ground, for example, the authors
feel that the pedagogical value of this work resides in the methods adopted, both in the
graphical construction of mathematical fireworks and in the way simple two-dimensional
formulas can be generalized in three dimensions, also considering that kinematics problems
in three dimensions are rarely reported in college physics textbooks [3].